Melting heat transfer by forced convection of Sisko fluid

Abstract

The current investigation focuses on the heat transfer from a warmer Sisko fluid to a melting stretching surface of the same material, in a steady, laminar boundary layer flow. The modeled partial differential equations are transformed to ordinary differential equations by an appropriate transformation. The subsequent ordinary differential equations are resolved by implicit finite difference Keller box scheme numerically in the domain Numerical outcomes for the velocity and temperature fields are designed, and possessions of the pertinent constraints are deliberated systematically. In addition, an exact solution is also attained as a special case of the modeled problem, in terms of incomplete Gamma function. Moreover, the results are authenticated with formerly published relevant literature as a special case of the problem. Residuals of velocity and temperature fields are computed to assess the accuracy of the results. It is found that the local Nusselt number declines as the melting constraint upsurges and approaches a constant value for each value of a Prandtl number.